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The first step to working out the GCF of two numbers is to break them down into their prime factors. In this case it would be:
36x = 2*2*3*3*x
10 = 2*5
The next step is identifying any common prime factors. Both numbers have a 2 as a prime factor. It is unknown if x has a prime factor of 5. If it does not, then the GCF of 36x and 10 would be 2. If it does, then the GCF of 36x and 10 would be 10.
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